5. Consider eigenfunction solutions to the linear momentum operator in one dimension. a) Show that the functional form of Ae±ikx is an eigenfunction of p. Find the eigenvalues. b) Is Aelkx + Be-ikx an eigenfunction of the linear momentum operator? If yes, what is its eigenvalue? c) Is Aetkx + Be-ikx an eigenfunction of the kinetic energy operator? If yes, what is its eigenvalue?
5. Consider eigenfunction solutions to the linear momentum operator in one dimension. a) Show that the functional form of Ae±ikx is an eigenfunction of p. Find the eigenvalues. b) Is Aelkx + Be-ikx an eigenfunction of the linear momentum operator? If yes, what is its eigenvalue? c) Is Aetkx + Be-ikx an eigenfunction of the kinetic energy operator? If yes, what is its eigenvalue?
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Transcribed Image Text:5. Consider eigenfunction solutions to the linear momentum operator in one dimension.
a) Show that the functional form of Ae±ikx is an eigenfunction of p. Find the eigenvalues.
b) Is Aelkx + Be-ikx an eigenfunction of the linear momentum operator? If yes, what is its eigenvalue?
c) Is Aeikx + Be¬ikx an eigenfunction of the kinetic energy operator? If yes, what is its eigenvalue?
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